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%I A023055 #9 Mar 30 2012 18:35:17
%S A023055 1,2,3,4,5,7,8,9,10,11,12,13,15,16,17,18,19,20,21,23,24,25,26,27,28,
%T A023055 30,32,33,35,36,37,38,39,40,41,43,45,47,48,49,51,53,55,56,57,59,60,61,
%U A023055 63,65,67,68,69,71,73,74,75,76,77,79,80,81,83,85,87,89,92,93,94,95,97,99,100
%N A023055 (Apparently) differences between adjacent perfect powers (integers of form a^b, a >= 1, b >= 2).
%C A023055 Catalan's conjecture (now a theorem) is that 1 occurs just once as a difference, between 8 and 9.
%H A023055 Alf van der Poorten, <a href="/A023057/a023057.txt">Remarks on the sequence of 'perfect' powers</a>
%Y A023055 Cf. A001597, A023057.
%Y A023055 Cf. A189117 (conjectured number of pairs of consecutive perfect powers differing by n).
%K A023055 nonn,hard
%O A023055 1,2
%A A023055 _David W. Wilson_

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